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SEAMO 2027 - Paper A - SET 05 - Self-study

Question 1

SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.

What number comes next in the sequence?
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, …

Pattern task: continue a simple rule consistent with every shown example; the finite examples do not formally define all possible continuations.

Question 2

The swimming coach asked his new students if they can swim.
Mink: “I can swim.”
Kamjai: “Mink is lying.”
Chatdanai: “Kamjai can swim.”
If exactly one person is lying and only one person can swim, who is the swimmer?

Question 3

Find the value of each symbol in the three equations shown. Give the values in this order: circle, star, triangle, separated by commas. The source also asks for the triangle in its final blank.

Interpretation for this practice question: the symbols represent positive whole numbers. The source does not explicitly specify the domain, and its key gives only the final triangle value; give all three symbol values here.

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Question 4

In the sum below, each letter represents a digit. What digit does A represent?

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  1. 4
  2. 5
  3. 6
  4. 7
  5. 8

Question 5

What time is shown on the last clock? The first three clocks show 2:45 PM, 3:20 PM and 4:05 PM.

Pattern task: continue a simple rule consistent with every shown example; the finite examples do not formally define all possible continuations.

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Question 6

How many shortest paths are there from A to B? Follow the directions of the arrows.

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  1. 5
  2. 6
  3. 7
  4. 8
  5. 9

Question 7

If the 1st of June fell on a Thursday, on which day of the week was the 19th of June? Use the calendar if helpful.

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Question 8

Mr. Tangcharoen distributed five 2-dollar bills to each of his six children. He then had three bills left. How much money did he have at first? Give the amount in dollars.

Interpretation: the three remaining bills are also 2-dollar bills. The source does not repeat their denomination.

Question 9

Given that 3 ⊛ 1 = 8, 6 ⊛ 7 = 29 and 4 ⊛ 3 = 13, find the value of 5 ⊛ 4.

Pattern task: continue a simple rule consistent with every shown example; the finite examples do not formally define all possible continuations.
  1. 20
  2. 21
  3. 22
  4. 23
  5. 24

Question 10

It is given that 2 ∗ 3 = 10, 3 ∗ 4 = 21 and 4 ∗ 5 = 36. Find the value of 5 ∗ 6.

Pattern task: continue a simple rule consistent with every shown example; the finite examples do not formally define all possible continuations.
  1. 44
  2. 55
  3. 66
  4. 70
  5. 77

Question 11

Today is Wednesday, 14 March. On which day of the week will April Fool’s Day, 1 April, fall?

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Question 12

Today is Monday, 9 August. On which day of the week is 9 September?
  1. Tuesday
  2. Wednesday
  3. Thursday
  4. Friday
  5. Saturday

Question 13

Which figures can be traced without lifting your pencil and without tracing over any line more than once? Figure labels are Fig 1 to Fig 4.

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  1. All except Fig 1
  2. All except Fig 2
  3. All except Fig 3
  4. All except Fig 4
  5. All of the above

Question 14

How many 4-digit numbers can be formed using the digits 0, 1, 2 and 3 without repeating any digit?

Question 15

John paid 12 dollars for 2 pens and 2 pencils. Mark paid 22.50 dollars for 2 pens and 5 pencils. How much does one pencil cost?

Source note: the printed answer key conflicts with the given purchase amounts. Solve from the amounts in the question.
  1. 3.20 dollars
  2. 3.50 dollars
  3. 3.80 dollars
  4. 4.10 dollars
  5. 4.30 dollars

Question 16

Minh has two 12-cent stamps and two 50-cent stamps. How many different postage values can he make?

Use at least one stamp, and no more stamps of either denomination than Minh owns.

Question illustration
  1. 5
  2. 6
  3. 7
  4. 8

Question 17

Find the missing number in the cars.

Pattern task: continue a simple rule consistent with every shown example; the finite examples do not formally define all possible continuations.

Question illustration
  1. 11
  2. 16
  3. 18
  4. 20
  5. 24

Question 18

Find the missing figure. Choose A, B, C, D or E.

Pattern task: continue a simple rule consistent with every shown example; the finite examples do not formally define all possible continuations.

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  1. A
  2. B
  3. C
  4. D
  5. E

Question 19

Find the next number in the sequence.
1, 5, 6, 11, 17, 28, 45, ( ), …

Pattern task: continue a simple rule consistent with every shown example; the finite examples do not formally define all possible continuations.
  1. 63
  2. 64
  3. 73
  4. 75
  5. None of the above

Question 20

There are 7 days in a week. If today is Tuesday, on which day of the week is the 100th day from today?

Counting convention: count today as day 1, as intended by the source answer keys.